Extensions of Rubio de Francia's extrapolation theorem in variable Lebesgue space and application
Functional Analysis
2014-07-22 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
We obtain one variant of the extrapolation theorem of Rubio de Fracia for variable exponent Lebesgue spaces. As a consequence we obtain conditions guarantee boundedness of strongly singular integral operators, singular integral operators with rough kernels, fractional maximal operators related to spherical means, Bochner-Riesz operators in variable Lebesgue spaces.
Keywords
Cite
@article{arxiv.1407.5216,
title = {Extensions of Rubio de Francia's extrapolation theorem in variable Lebesgue space and application},
author = {Gogatishvili Amiran and Kopaliani Tengiz},
journal= {arXiv preprint arXiv:1407.5216},
year = {2014}
}